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3 years ago

HELP ME !! AND EXPLAIN HOW YOU GOT IT.

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

4 0

Answer: G = 50°, I = 50°, H = 80°

Step-by-step explanation:

First and foremos, the sum of three angles of a triangle is 180°

2x + 2x + (4x - 20) = 180°

8x - 20 = 180°

8x = 180° + 20 (adding 20 on both sides)

8x = 200°

x = 200/8

x = 25

The value of the angles can be found by replacing the value of x with 25

2x = 2 x 25 = 50°

Therefore, the angle of two angles are 50°

And the other is (4 x 25) -20 = 80°

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-5(v - 1) = -6- (1 + 3v)

dem82 [27]

Answer:

6 =v

Step-by-step explanation:

-5(v - 1) = -6- (1 + 3v)

Distribute

-5v +5 = -6 -1 -3v

Combine like terms

-5v +5 = -7 -3v

Add 5v to each side

-5v+5v +5 = -7 -3v+5v

5 = -7+2v

Add 7 to each side

5+7 = -7+7 +2v

12 = 2v

Divide each side by 2

12/2 = 2v/2

6 =v

8 0

3 years ago

Find all solutions to the equation. -\dfrac{2}{x(x+2)}=\dfrac{x+3}{x+2}− x(x+2) 2 = x+2 x+3 minus, start fraction, 2, divide

Gnoma [55]

Answer:

$x=-1$

Step-by-step explanation:

We have been given an equation $\frac{-2}{x(x+2)}=\frac{x+3}{x+2}$ . We are asked to find the solutions of our given equation.

First of all, we will cross multiply our given equation as:

$-2(x+2)=x(x+2)(x+3)$

Subtract $x(x+2)(x+3)$ from both sides:

$-2(x+2)-x(x+2)(x+3)=x(x+2)(x+3)-x(x+2)(x+3)$

$-2(x+2)-x(x+2)(x+3)=0$

Now we will factor out $(x+2)$ .

$(x+2)(-2-x(x+3))=0$

$(x+2)(-2-x^2-3x)=0$

$(x+2)(-(x^2+3x+2))=0$

Now we will factor by splitting the middle term.

$-(x+2)(x^2+2x+x+2)=0$

$-(x+2)(x+2)(x+1)=0$

$-(x+2)^2(x+1)=0$

Now we will use zero product property and solve for x as:

$-(x+2)^2=0,(x+1)=0$

$(x+2)=0,(x+1)=0$

$x=-2,x=-1$

Now, we will check for extraneous solutions.

We can see that $x=-2$ will make both denominators zero because our function is not defined at $x=-2$ .

Therefore, the solution for our given equation is $x=-1$ .

7 0

4 years ago

Read 2 more answers

A DJ has a total of 1075 dance and rock songs on her system. The dance selection is 4 times the size of the rock selection. Writ

KIM [24]

Answer:

Write a system of equations to represent the situation.

d: Number of dance songs

r: Number of rock songs

d + r = 1075

d = 4 * r

4 0

3 years ago

Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop m

zlopas [31]

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Number of hours of pop music = 3

Number of hours of classical music = 2

According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.

Rate of increment = 5% = 0.05

Let the number of months be 'x'.

So, our required function becomes,

$f(x)=3(1+0.05)x+2\\\\f(x)=3(1.05)x+2$

Hence, Option 'd' is correct.

3 0

3 years ago

A.100<br> B.80<br> C.50<br> D.20

katrin2010 [14]

Answer:

C. 50

Step-by-step explanation:

3 0

3 years ago